On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities

• Datum: 2019
• Hauptverfasser: Evtukhov, V. M., Chernikova, A. G., Евтухов, В. М., Черникова, А. Г.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2019
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1420
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish the conditions of existence for one class of monotone solutions of two-term nonautonomous differential equations of the second order with rapidly varying nonlinearities and the asymptotic representations of these solutions and their first-order derivatives as $t \uparrow \omega (\omeg...